Math Teaching Methods

Solve the following routine problem: If a train travels at 60 mph for 3 hours, how far did it go?

• 180 miles

• 120 miles

• 90 miles

• 200 miles

Analyze the following non-routine problem: A farmer has a field in the shape of a trapezoid. If the shorter base is 10 meters, the longer base is 15 meters, and the height is 8 meters, find the area of the field.

• 50 square meters

• 100 square meters

• 80 square meters

• 120 square meters

Use creativity in problem-solving: Create a real-life scenario where you would need to use the Pythagorean theorem to solve a problem.

• Measuring the weight of an object

• Calculating the volume of a sphere

• Building a wheelchair ramp for an entrance.

• Determining the area of a rectangle

Apply mathematical concepts: Explain the concept of probability using an example related to rolling a fair six-sided die.

• The die is more likely to roll an odd number than an even number.

• The concept of probability in rolling a fair six-sided die is that each number (1, 2, 3, 4, 5, 6) has a 1/6 chance of being rolled.

• Each number on the die has a 1/3 chance of being rolled.

• The probability of rolling a 7 is 1/6.

Differentiate between routine and non-routine problems: Classify the following problem as routine or non-routine - 'Find the value of x in the equation 2x + 5 = 15.'

• Routine

• Simple

• Direct

• Basic

Solve the routine problem: If a store sells a shirt for $20 and a pair of pants for $30, and a customer buys 2 shirts and 3 pairs of pants, how much did they spend in total?

• $130

• $110

• $140

• $150

Analyze the non-routine problem: A company's revenue is given by the equation R = 5000x - 100x^2, where x is the number of units sold. Determine the maximum revenue the company can achieve.

• $50,000

• $70,000

• $62,500

• $45,000

Utilize creativity in problem-solving: Invent a math game that helps students practice multiplication in a fun way.

• Design a coloring book with multiplication problems to solve on each page.

• Create a puppet show where characters solve multiplication problems as part of the storyline.

• Create a board game where students solve multiplication problems on each space to move forward, incorporating special spaces like 'bonus' and 'challenge' spaces for added fun.

• Develop a mobile app where students can practice multiplication by answering questions to unlock levels.

Apply mathematical concepts: Describe the concept of slope and how it is calculated in a linear equation.

• Slope = (y1 + y2) / (x1 + x2)

• Slope = (y1 - y2) / (x1 - x2)

• Slope = (y2 - y1) * (x2 - x1)

• Slope = (y2 - y1) / (x2 - x1)

Differentiate between routine and non-routine problems: Categorize the following problem as routine or non-routine - 'Solve the system of equations: 2x + y = 5 and x - y = 1.'

• routine

• unconventional

• complex

• non-routine